25339864225 has 81 divisors (see below), whose sum is σ = 35608019769. Its totient is φ = 17879659200.

The previous prime is 25339864219. The next prime is 25339864259. The reversal of 25339864225 is 52246893352.

The square root of 25339864225 is 159185.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6531387489 + 18808476736 = 80817^2 + 137144^2 .

It is not a de Polignac number, because 25339864225 - 2¹⁹ = 25339339937 is a prime.

Its product of digits (3110400) is a multiple of the sum of its prime divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 320757736 + ... + 320757814.

Almost surely, 2^25339864225 is an apocalyptic number.

25339864225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25339864225 is the 159185-th square number.

25339864225 is the 79593-rd centered octagonal number.

It is an amenable number.

25339864225 is a deficient number, since it is larger than the sum of its proper divisors (10268155544).

25339864225 is an equidigital number, since it uses as much as digits as its factorization.

25339864225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 128 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 49.

Multiplying 25339864225 by its sum of digits (49), we get a square (1241653347025 = 1114295²).

The spelling of 25339864225 in words is "twenty-five billion, three hundred thirty-nine million, eight hundred sixty-four thousand, two hundred twenty-five".